414334010232 has 96 divisors (see below), whose sum is σ = 1171654174080. Its totient is φ = 132026368320.

The previous prime is 414334010231. The next prime is 414334010257. The reversal of 414334010232 is 232010433414.

414334010232 is a `hidden beast` number, since 41 + 43 + 340 + 10 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414334010196 and 414334010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414334010231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2685507 + ... + 2835597.

It is an arithmetic number, because the mean of its divisors is an integer number (12204730980).

Almost surely, 2^414334010232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414334010232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585827087040).

414334010232 is an abundant number, since it is smaller than the sum of its proper divisors (757320163848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414334010232 is a wasteful number, since it uses less digits than its factorization.

414334010232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151793 (or 151786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 414334010232 its reverse (232010433414), we get a palindrome (646344443646).

The spelling of 414334010232 in words is "four hundred fourteen billion, three hundred thirty-four million, ten thousand, two hundred thirty-two".